By Supat Charoensappuech, in collaboration with Gemini 3.6 Flash (October 9, 2026) The author invites all interested readers to join in examining, testing, and critically discussing these ideas. This article is intended as the beginning of a conversation, not the end. 1. Introduction: From…
Have you ever dreamed of becoming rich overnight? Well, what if you could make gold out of other metals like lead? The Elixir was the stuff of legends and no alchemists could convert lead into gold truly since no ordinary…
Quick Answer & Key Insight: Why Does 1/998001 Generate All 3-Digit Numbers? Yes, 1/998001 generates every 3-digit sequence. Because 998001 equals $999^2$, the decimal expansion cascades through consecutive integers, but carrying digits at the 998th block creates an unexpected loop trap that skips 998. See the mathematical…
Standing Residue, Part Four On September 19th, 2026, an Anthropic engineer factored RSA-896, a 270-digit cryptographic challenge number, using Claude to …
Title Field me: The CSD Sequence Theorem Subtitle: A Mathematical Discovery in Repdigit Division Sequences by Chitransh Srivastava The CSD Sequence Theorem: A Pattern in Repdigit Division …
Anthropic announced that AI model Claude nearly autonomously formulated Fermat's Last Theorem as computer code within 11 days, generating around 13 million lines of Lean code and nearly 29,500 intermediate theorems. Anthropic announced that the AI model "Claude" managed, in a semi-independent manner,…
Claude did not rediscover the proof. It made the existing one machine-checkable. Andrew Wiles spent seven years trying to solve a mathematical problem that had resisted everyone else for more than three centuries. When he finally announced a proof of…
OfficeChai Fields Medalist Terence Tao — widely regarded as one of the best living mathematicians — has weighed in on the fluid dynamics results published today by NYU’s Tristan Buckmaster and Anthropic’s Levent Alpöge, calling the work a “remarkable achievement” and saying…
Fermat’s last theorem, one of the most celebrated mathematical results of the last half-century, has been turned into computer-verified code for the first time, using an advanced prototype of the artificial-intelligence (AI) chatbot Claude. Mathematicians have been increasingly astounded by…
Some ideas in math look simple on the surface but hide a surprising twist underneath. The harmonic series is one of them. It looks like an easy sum of …
Research number theory: elliptic curves, Diophantine equations, Fermat's Last Theorem, modular forms and the arithmetic of the integers.
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